anonymous
  • anonymous
find the equation of the locus of a point that moves so that its distance from the line 3x-4y+9=0 is always 5
Mathematics
  • Stacey Warren - Expert brainly.com
Hey! We 've verified this expert answer for you, click below to unlock the details :)
SOLVED
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.
jamiebookeater
  • jamiebookeater
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
ganeshie8
  • ganeshie8
let that point be P (x, y)
ganeshie8
  • ganeshie8
distance from a point to a line = \(\frac{Ax+By+C}{\sqrt{A^2 + B^2}}\)
ganeshie8
  • ganeshie8
can you put the equation for distance ? from point P(x, y) to line 3x-4y+9=0

Looking for something else?

Not the answer you are looking for? Search for more explanations.

More answers

anonymous
  • anonymous
oh so it would be (3x-4y+9)/square root( 3^2 +(-4)^2)
anonymous
  • anonymous
(3x -4y+9)/5 =5 3x -4y+9 =25 3x-4y -16 =0
anonymous
  • anonymous
is that right ganeshi8?
anonymous
  • anonymous
btw i thought there was an ABSOLUTE SIGN around Ax + By + C for the formula
ganeshie8
  • ganeshie8
yep! u r right.. we must get two lines
ganeshie8
  • ganeshie8
|(3x -4y+9)|/5 =5
ganeshie8
  • ganeshie8
3x-4y+9 = 25, and, 3x-4y + 9 = -25
anonymous
  • anonymous
ngawww i get it !
ganeshie8
  • ganeshie8
it tricked me.... i was thinking there should be two lines at the very end. nice catch :)
anonymous
  • anonymous
thanks again - LOL and about writing GAPS yesterday, it wasn't meant to be rude or anything, just expressing my gratitude for your help ;)
ganeshie8
  • ganeshie8
lol fine i get it nw :))
ganeshie8
  • ganeshie8
|dw:1341791339629:dw|
ganeshie8
  • ganeshie8
two lines we just got... which are at a distance of 5 from the given line... they look as above

Looking for something else?

Not the answer you are looking for? Search for more explanations.